Question

$f$ is a continuous and periodic function and $t$ a real number. Prove that $\exists x \in \mathbb{R}$ such that $f(x+t)=f(x)$

score 514 · Answer 1 · 2021-09-04 17:11:36

514

Views

$f$ is a continuous and periodic function and $t$ a real number. Prove that $\exists x \in \mathbb{R}$ such that $f(x+t)=f(x)$

Published on 04 Sep 2021 - 17:11

score 395 · Answer 2 · 2026-02-24 01:54:41

395

Views

A function satisfying $f(x+y)+f(x-y)=2f(x)f(y)$ and $f(x_0)=-1$ is periodic

Published on 24 Feb 2026 - 1:54

score 62 · Answer 3 · 2021-09-10 21:34:03

62

Views

If $f$ is a periodic function with period $P$, then what we say about the periodicity of the function $f(mx+ny)$?

Published on 10 Sep 2021 - 21:34

score 84 · Answer 4 · 2026-02-24 06:12:33

84

Views

Map from continuous functions in $S^1$ to continuous functions in $\mathbb{R}$ injective subset of periodic functions

Published on 24 Feb 2026 - 6:12

score 69 · Answer 5 · 2021-09-28 20:46:42

69

Views

Sequence that approximates union of N periodic sequences

Published on 28 Sep 2021 - 20:46

score 206 · Answer 6 · 2021-09-30 14:01:44

206

Views

Is a Constant Function Periodic with Infinite Number of Periods?

Published on 30 Sep 2021 - 14:01

score 62 · Answer 7 · 2021-10-02 23:27:26

62

Views

Is this statement about limits with periodic function true?

Published on 02 Oct 2021 - 23:27

score 300 · Answer 8 · 2021-10-12 06:19:46

300

Views

Fourier coefficients of g(x) based on Fourier coefficients of f(x)

Published on 12 Oct 2021 - 6:19

score 517 · Answer 9 · 2021-10-20 10:01:18

517

Views

Determining the period of $ \frac{\sin(2x)}{\cos(3x)}$

Published on 20 Oct 2021 - 10:01

score 105 · Answer 10 · 2021-10-21 16:39:32

105

Views

The relation between Poincaré maps and Floquet theory?

Published on 21 Oct 2021 - 16:39

score 109 · Answer 11 · 2021-10-23 18:12:00

109

Views

Finding The Periodicity of $f(x) = \sqrt{\sin(x)}+\sqrt{\cos(x)}$

Published on 23 Oct 2021 - 18:12

score 35 · Answer 12 · 2026-04-02 15:58:41

35

Views

How is aperiodic relative to ergodic property for an irreducible DTMC?

Published on 02 Apr 2026 - 15:58

score 66 · Answer 13 · 2021-11-01 15:47:21

66

Views

Finding $T$-period solutions of nonlinear first order ODEs

Published on 01 Nov 2021 - 15:47

score 27 · Answer 14 · 2021-11-01 21:40:38

27

Views

non-periodic function $e^{-\pi i x}$

Published on 01 Nov 2021 - 21:40

score 115 · Answer 15 · 2021-11-08 11:56:35

115

Views

Showing that the system $\{\cos nx\}_{n=1}^{\infty}$ is complete in $L_2[0,\pi]$ by using even and odd functions

Published on 08 Nov 2021 - 11:56

List Question

$f$ is a continuous and periodic function and $t$ a real number. Prove that $\exists x \in \mathbb{R}$ such that $f(x+t)=f(x)$

A function satisfying $f(x+y)+f(x-y)=2f(x)f(y)$ and $f(x_0)=-1$ is periodic

If $f$ is a periodic function with period $P$, then what we say about the periodicity of the function $f(mx+ny)$?

Map from continuous functions in $S^1$ to continuous functions in $\mathbb{R}$ injective subset of periodic functions

Sequence that approximates union of N periodic sequences

Is a Constant Function Periodic with Infinite Number of Periods?

Is this statement about limits with periodic function true?

Fourier coefficients of g(x) based on Fourier coefficients of f(x)

Determining the period of $ \frac{\sin(2x)}{\cos(3x)}$

The relation between Poincaré maps and Floquet theory?

Finding The Periodicity of $f(x) = \sqrt{\sin(x)}+\sqrt{\cos(x)}$

How is aperiodic relative to ergodic property for an irreducible DTMC?

Finding $T$-period solutions of nonlinear first order ODEs

non-periodic function $e^{-\pi i x}$

Showing that the system $\{\cos nx\}_{n=1}^{\infty}$ is complete in $L_2[0,\pi]$ by using even and odd functions

Trending Questions

Popular # Hahtags

Popular Questions